Decimal Word Problems: Multiplication 1

Topics

Try VividMath Premium to unlock full access

Start Free Trial

Lets see your results!

Points

Score

Time

Retry Quiz

Answered
Review

Question 1 of 4

1. Question
Marie buys $3$ $3$ tubs of yogurt, each costing $$ 5.20$ $$5.20$ . She pays from her account which only has $$ 20$ $$20$ . How much is left in her account after the purchase?
- $$$ $$$ (4.40)
Hint

Help Video
Correct

Great Work!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

First, list down the given values in the problem.

Money in the account: $$ 20$ $$20$

Price of yogurt: $$ 5.20$ $$5.20$

To find the money remaining in the account, find the total price of the yogurt by multiplying them and then subtract the product from the money in the account.

Since $3$ $3$ tubs of yogurt were bought, multiply the cost of one to $3$ $3$

Start by ignoring the decimal points and multiply them normally

$5.20$ $5.20$ $=$ $=$ $520$ $520$

$3 \times 520$ $3xx520$ $=$ $=$ $1560$ $1560$

Next, count how many place values there are from the decimal point to the right of the two factors.

$5.20 =$ $5.20 =$ $2 places$ $2 \text(places)$

There are a total of $2$ $2$ place value movements to the right of the decimal point.

Get the final product by moving the decimal point of the initial product $2$ $2$ places to the left.

Hence, the total cost of the tubs of yogurt is $$ 15.60$ $$15.60$ .

Subtract this value from $$ 20$ $$20$ to get the left over amount. Line up the decimal points (point over point).

If there are any blank values to the right of the decimal point, write $0$ $0$ .

$2$ $2$ $0$ $0$ $.$ $.$ $0$ $0$ $0$ $0$

$-$ $-$ $1$ $1$ $5$ $5$ $.$ $.$ $6$ $6$ $0$ $0$

Subtract as you would whole numbers

$2$ $2$ $0$ $0$ $.$ $.$ $0$ $0$ $0$ $0$

$-$ $-$ $1$ $1$ $5$ $5$ $.$ $.$ $6$ $6$ $0$ $0$

$.$ $.$ $0$ $0$

Since $0$ $0$ is less than $6$ $6$ we will use borrowing to subtract

$0$ $0$ (units digit) $=$ $=$ borrow $1$ $1$ from $2$ $2$

$0$ $0$ (tenths digit) $=$ $=$ borrow $1$ $1$ from $10$ $10$ (units digit)

$9$ $9$

$1$ $1$ $10$ $10$ $10$ $10$

$2$ $2$ $0$ $0$ $.$ $.$ $0$ $0$ $0$ $0$

$-$ $-$ $1$ $1$ $5$ $5$ $.$ $.$ $6$ $6$ $0$ $0$

$0$ $0$ $4$ $4$ $.$ $.$ $4$ $4$ $0$ $0$

Therefore, the money that is left over in Marie’s account is $$ 4.40$ $$4.40$

$$ 4.40$ $$4.40$
Question 2 of 4

2. Question
A roll of cable has $40 m$ $40 \text(m)$ worth of cable. If the cable costs $$ 9.85$ $$9.85$ per metre, how much would the entire roll of cable cost?
- $$$ $$$ (394.00, 394)
Hint

Help Video
Correct

Keep Going!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

First, list down the given values in the problem.

Cost per metre of cable: $$ 9.85$ $$9.85$

Total metres: $40$ $40$

To find the cost of the roll of cable, multiply the cost per metre of cable by the total metres of the roll.

Start by ignoring the decimal points and multiply them normally

$9.85$ $9.85$ $=$ $=$ $985$ $985$

$985 \times 40$ $985xx40$ $=$ $=$ $39400$ $39400$

Next, count how many place values there are from the decimal point to the right of the two factors.

$9.85 =$ $9.85 =$ $2 places$ $2 \text(places)$

There are a total of $2$ $2$ place value movements to the right of the decimal point.

Get the final product by moving the decimal point of the initial product $2$ $2$ places to the left.

Therefore, the roll of cable costs a total of $$ 394.00$ $$394.00$ .

$$ 394.00$ $$394.00$
Question 3 of 4

3. Question
A single book costs $$ 9.95$ $$9.95$ . If there are a total of $21$ $21$ books, how much does it all cost?
- $$$ $$$ (208.95)
Hint

Help Video
Correct

Excellent!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

First, list down the given values in the problem.

Cost per book: $$ 9.95$ $$9.95$

Number of books: $21$ $21$

To find the cost of the books, multiply the cost per book by the number of books.

Start by ignoring the decimal points and multiply them normally

$9.95$ $9.95$ $=$ $=$ $995$ $995$

$995 \times 21$ $995xx21$ $=$ $=$ $20895$ $20895$

Next, count how many place values there are from the decimal point to the right of the two factors.

$9.95 =$ $9.95 =$ $2 places$ $2 \text(places)$

There are a total of $2$ $2$ place value movements to the right of the decimal point.

Get the final product by moving the decimal point of the initial product $2$ $2$ places to the left.

Therefore, the stack of books costs a total of $$ 208.95$ $$208.95$ .

$$ 208.95$ $$208.95$
Question 4 of 4

4. Question
Simone purchased $10 litres$ $10 \text(litres)$ of fuel for $154.9¢$ per litre. How much did she spend in dollars?
- $$$ (15.49)
Hint

Help Video
Correct

Well Done!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

First, list down the given values in the problem.

Cost per litre of fuel: $154.9¢$

Total litres bought: $10$

To find the total cost of the fuel, multiply the cost per litre of fuel by the total litres bought, then convert the product from cents to dollars.

First, since the decimal is being multiplied by $10$ , simply move the decimal point $1$ place to the right.

Finally, to convert cents into dollars, move the decimal point $2$ places to the left

Therefore, Simone spent a total of $$15.49$ on fuel.

$$15.49$

Decimal Word Problems: Multiplication 1

Try VividMath Premium to unlock full access

Quiz summary

Information

1. Question

Hint

Great Work!

2. Question

Hint

Keep Going!

3. Question

Hint

Excellent!

4. Question

Hint

Well Done!

Quizzes

	$2$ $2$	$0$ $0$	$.$ $.$	$0$ $0$	$0$ $0$
$-$ $-$	$1$ $1$	$5$ $5$	$.$ $.$	$6$ $6$	$0$ $0$

		$9$ $9$
	$1$ $1$	$10$ $10$		$10$ $10$
	$2$ $2$	$0$ $0$	$.$ $.$	$0$ $0$	$0$ $0$
$-$ $-$	$1$ $1$	$5$ $5$	$.$ $.$	$6$ $6$	$0$ $0$
	$0$ $0$	$4$ $4$	$.$ $.$	$4$ $4$	$0$ $0$